The energy and mass transference through ternary nanofluid (TNF) over a stretching spinning sheet is estimated in the present study. The TNF has been prepared by the distribution of magnesium oxide (MgO), titanium dioxide (TiO2), and cobalt ferrite (CoFe2O4) nanoparticles (NPs) in water. The study of the TNF over a rotating stretching sheet can be directly used in optimizing the performance of solar thermal collector, high-power electronics cooling, and aerospace heat shields. Such flow has a vital role in the optimization of lubrication processes and nuclear reactor cooling in which high thermal conductivity and centrifugal flow manipulation is needed. The TNF flow has been calculated under the consequence of mixed convection, thermal radiation, constant and exponential heat source/sink, magnetic field, and porous medium. The flow scenario is mathematically stated in the form of a nonlinear system of PDEs (partial differential equations). The set of PDEs is transfigured into the non-dimensional system of ODEs (ordinary differential equations), by means of the similarity variables. The results are obtained through the bvp4c code (Matlab built-in package). The percent error between present and published study at Pr =5.0 is 0.0034541%, which ensure the accuracy of the proposed model and applied methodology. The energy transfer rate drops by up to 20.4049%, 25.5465% and 32.4766% by varying the exponential heat source/sink factor from -1.0 t0 1.0 in case of nano, hybrid and ternary nanofluid respectively. The transfer rate enhances up to 52.7911% and 51.2236% by varying heat radiation and Dufour number from 1.0 to 3.0 and 1.5 to 3.5 in case of THNF, respectively.

The effect of magnetohydrodynamic (MHD) power-law flow of hybrid nano-lubricant (SiO2–MoS2/PAO (polyalphaolefins)) over a stretching sheet is numerically investigated. The core innovation of the study is to accurately model the non-equilibrium boundary dynamics of a hybrid nano-lubricant (SiO2-MoS2/PAO), when applied to an elastically stretching surface, by introducing multiple slip conditions, namely, primary velocity slip, secondary cross-flow velocity slip, and multi-variable convective thermal slip. Appropriate similarity transformations are used to transform the governing partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The resulting boundary value problem is solved numerically with MATLAB bvp4c solver. The effects of physical parameters on the velocity profiles, thermal fields, skin friction and the local Nusselt number are investigated and physically discussed. It can be observed that the skin friction reduces by up to 73.1178 and 80.5745% by varying primary slip velocity factor, 47.6882 and 54.5448% by varying ion-slip factor and 73.1178 and 80.5745% by varying Hall current in case of both NF and HNF, respectively. The energy transfer rate is significantly reduced by varying secondary velocity slip parameter from 0.9 to 1.3, up to 13.92% in case of HNF and 13.47% in case of NF. The fluid velocity undergoes a remarkable increase as a result of buoyancy factor, and the higher modified Biot numbers, leading to a significant enhancement of the temperature distributions, which are essential for achieving high-performance heat transfer rates in solar thermal collectors and nuclear cooling circuits.